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Finding the Third Proportional to 135,936 and 199,937.25

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Solution

The third proportional to 135,936 and 199,937.25 is: 294,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,936 : 199,937.25 = 199,937.25 : x
  2. Step 2: Convert to fraction form
    135,936/199,937.25 = 199,937.25/x
  3. Step 3: Cross multiply
    135,936x = 199,937.25 × 199,937.25
  4. Step 4: Simplify right side
    135,936x = 39,974,903,937.56
  5. Step 5: Solve for x
    x = 39,974,903,937.56/135,936
  6. Step 6: Final answer
    x = 294,071.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.